Project 1; Math 132
date
Name:____________________________________
Please write out the following statement and sign it.
I acknowledge that I have fully complied or will comply with all aspects of the University’s Honor Code in submitting this work. All work on this project is my own. I did not discuss this project with anyone except for the instructor. I understand that work that is not typed or stapled will receive a grade of 0.
________________________________signature
General Directions:
Table for determining the value of B to use:
A 
11 
12 
13 
14 
15 
16 
17 
18 
19 
B 
1879 
2104 
1348 
1499 
2316 
2187 
1894 
1289 
1579 










A 
20 
21 
22 
23 
24 
25 
26 
27 
28 
B 
1875 
1583 
1197 
1157 
1627 
2179 
1487 
1955 
1535 










A 
29 
30 
31 
32 
33 
34 
35 
36 
37 
B 
1554 
1359 
1612 
1085 
1158 
1287 
1487 
1287 
2454 
Setting: You are making prime magic wands using phoenix feathers. The price and Cost are given at the bottom of the page. You will need to use what we have been studying about quadratic functions to complete this project. See the coversheet for general directions.
1. Find R(x)
2. Find the x intercepts, y intercept and vertex for R(x). Show all computations. Values must be exact.
3. Graph R(x). To graph R(x) use the information found above and plot at least 2 additional points to get a good graph. Provide a table with the graph giving the points found in part 2 as well as the additional 2 points. Put this table on the same sheet as the graph. Remember the graph must be hand drawn on a full sheet of paper.
4. Discuss what the graph of R(x) reveals about the revenue for this company. What is an appropriate domain for the revenue function? Think about this, what values yield realistic values for the revenue. This function represents the money coming into the company. So including negative x values or values that yield a negative revenue would not be appropriate. This answer is to be an interval, not a single value. Discuss why this the appropriate domain.
5. Find the profit function, P(x), for this company. (The work to find this function must be provided in the appropriate place.)
6. Find the x intercepts, y intercept and vertex for P(x). Work must be given. Values must be exact.
7. Graph P(x). To graph P(x) use the information found above and plot at least 2 additional points to get a good graph. Provide a table with the graph giving the points found in part 6 as well as the additional 2 points.
8. Discuss what the graph of P(x) reveals about the profit for this company. Does it give an indication as to a cap for how large the production should be? (IE, is there a value where if more is made the company loses money?) Why is that the value you selected for the maximum production level? Is there a minimum level of production that the company should have? Why? What is the break even quantity? What does this break even quantity indicate about the desired production levels for this company?
9. If the current production level is 350 wands a week, should you increase the production by 10%? Why or why not?
For the price and Cost functions: The value for A can be found by looking in the grade book on Blackboard (THE VALUE OF A IS 31). It is identified as “Constant A”. To determine your value for B refer to the table on the previous page.
This chart indicates how the project will be graded. This page does not need to be included with the submitted project.

Correct Value 
Comments 
Score 
Following General Directions on Coversheet. 


/6 
R(x) 


/2 
X intercepts for R(x) 


/2 
Y intercept for R(x) 


/2 
Vertex for R(x) 


/2 
Graph for R(x) 


/3 
Discussion Related to R(x) – What does it tell you about the revenue 


/2 
R(x) domain 


/2 
P(x) is correct 


/2 
X intercepts for P(x) 


/2 
Y intercept for P(x) 


/2 
Vertex for P(x) 


/2 
Graph of P(x) 


/3 
Discussion related to P(x) 


/2 
Cap related to production 


/2 
Minimum level of production 


/2 
Break even quantity 


/2 
Making 280 – make more? 


/2 
TOTAL



/42 
Test 1: MATH 132
The test covers Chapter 1 sections 1 – 3, Chapter 2 sections 1 – 4.
On Test day all book bags, books, notebooks, etc. are to be left at the front of the room. The only items that you are allowed to have at your desk is your graphing calculator, pencil and straight edge for graphing. Tests will be collected after 50 minutes, there will not be any extended time.
Calculators may be checked for unauthorized material such as formulas, etc.
Questions from 13 will not require you to do regression on your calculator.
· Interval, inequality, and number line graphs
· Solving inequalities
· Equations for lines
· Slope formula, slopeintercept form, standard form for lines
· Parallel and perpendicular lines
· Cost, Revenue, Profit
· Variable cost, fixed cost
· Break even quantity
· Pricesupply equations (example 8, page 21)
· Function – is it or isn’t it
· Function notation
· Vertical and horizontal transformations of functions
· Reflection of functions around the x axis
· Quadratic functions – vertex, open, max/min; applications related to quadratics
· Polynomial functions – graph, identify minimum degree given the graph
· Rational functions – graph
· Find the x intercepts for a function using the CALC feature on the calculator.
· Find the intersection of two functions using the CALC feature on the calculator.
The following problems are just a starting point for your review.
1. Solve and give the answer in interval form.
2. Solve for x. Give the answer in algebraic form.
3. Find the equation of the line that goes through the point (2, 6) with a slope of 4. Give the answer in slopeintercept form.
4. Find the equation of the line that goes through the point (1, 9) and is perpendicular to the line y = 6x – 2. Give the answer in slopeintercept form.
5. The linear regression line model for the height of balsam fir trees is h = 3.9d +18.73, where d is the diameter at 4 feet above the ground in inches, and h is the height of the tree in feet.
a) Using this model, how tall is a tree with a diameter of 5 inches?
b) Using this model, what is the diameter of a tree that is 53 feet tall?
6. State the domain and range:
a) (domain only) b) (domain only)
c) d)
X 
2 
4 
7 
2 

x 
1 
3 
2 
8 
4 
2 
Y 
4 
8 
4 
4 

y 
0 
5 
2 
9 
7 
4 
e) 5 8 f) 7
4 3 3 9
11 1 4
2 3
7. For the relations above in #6, which ones are functions.
8. Find the following
9. The graph of is translated up 3 units and 5 units to the right. What is it’s equation?
There will also be dot to dot problems like were done in class.
10. Ahava Manufacturing makes speakers for cell phones. Each speaker sells for p = 150.2x. The cost function is . What is the profit function? For what range of values does the company make a profit? If the company is currently making 10 speakers, and they plan to increase their production by 10%, would you encourage them to do this or not? Why?
11. For these revenue and Cost functions, what is the break even quantity?
12. Sketch the graph of the following functions. The x intercepts and y intercepts must be labeled with the correct exact values. Find any vertical asymptotes as is appropriate.
a)
b)
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